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The Big Picture

Page 34

by Carroll, Sean M.


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  description of reality.

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  What’s new is that Newton and Laplace, even if they had thought of

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  their ideas as only accurate in a certain regime, had no way of knowing how

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  far that regime extended. Newtonian gravity works very well for the Earth

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  or Venus; it eventually starts breaking down when we consider the orbit of

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  Mercury, whose tiny precession became some of the strongest evidence in

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  favor of Einstein’s general relativity. But Newton would have had no idea

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  how far his theory might be accurate.

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  With effective field theory, however, that’s exactly what we have. An

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  effective field theory describes everything that happens to a certain set of

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  fields, as long as the energies are lower than a certain cutoff, and distances

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  are larger than a certain lower limit (as set by experiment). Once we have

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  the parameters of the effective theory pinned down, we know what will

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  happen to our fields in any experiment we can imagine within its domain

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  of applicability, even if we haven’t done that experiment yet.

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  It’s this special feature of quantum field theory that gives us the confi-

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  dence to make such audacious claims about the scope of our knowledge.

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  There are a million ways to misinterpret “The laws of physics underlying

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  everyday life are completely known.” While it’s an undeniably bold claim,

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  it would be easy to mistake it for something even more grandiose than it

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  actually is, and then dismiss that exaggerated claim. It certainly does not

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  imply that we know all of physics.

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  Nor does it, by any wild stretch of the imagination, imply that we know

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  how everything works at the level of the everyday. Nobody in their right S35

  mind thinks that we have, or are close to having, complete theories of

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  biology or neuroscience or the weather, or for that matter of the flow of

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  electricity through ordinary materials. Those phenomena need to be com-

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  patible with the Core Theory, but the phenomena themselves are emergent.

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  As we discussed in chapter 12, understanding emergent phenomena is a

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  matter of discovering new knowledge— finding those patterns (where they

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  exist) that allow us to describe simple behaviors out of many underlying

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  moving parts. Sometimes the simple demand of compatibility with an un-

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  derlying theory tells us a great deal, as in the case of planets moving around

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  the sun. Conservation of momentum immediately tells us that the Earth

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  won’t go careening off in a random direction; the absence of long- range

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  forces other than gravity and electromagnetism tells us that you can’t bend

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  spoons with your mind. But for the most part, there is a wide gap between

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  knowing a theory at one level and knowing the emergent theories that are

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  related to it by coarse- graining.

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  The success of the Core Theory, and our understanding of its domain of

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  applicability, thanks to the principles of effective field theory, implies that

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  there is an enormous presumption (a high Bayesian credence) in favor of

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  understanding macroscopic phenomena in terms that are compatible with

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  the underlying laws of physics. There can always be exceptions. But as David

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  Hume would have said, if you believe that any one particular case is a true

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  example of the Core Theory being violated, your evidence in favor of it

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  needs to be strong enough to overcome the enormous amounts of evidence

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  to the contrary.

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  Even accepting that science never proves anything and that surprises are

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  always possible, there are still some small loopholes in our arguments that

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  the laws of physics underlying everyday life are completely known. It would

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  be intellectually dishonest not to acknowledge them, so here we go.

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  The most straightforward loophole would be if quantum field theory

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  were just flat- out wrong in the domain that includes everyday life. For ex-

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  ample, if there were physical effects that stretched from one particle to an-

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  other, but not via anything like a quantum field. This seems very unlikely,

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  on general grounds; once you accept the basic principles of relativity and

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  quantum mechanics, you are more or less forced into accepting quantum

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  field theory. In regions where gravity is strong, like the Big Bang and black

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  t h E E F F E C t I v E t h E OR y OF t h E E v E R y dA y WO R l d holes, field theory may very well break down. There aren’t any black holes

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  in your living room, happily. But for the sake of completeness, we should

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  admit that it’s always a possibility.

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  The second possible loophole, arguably more plausible than the first, is

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  the looming problem that we don’t fully understand quantum mechanics.

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  It’s possible that we have in hand all of the basic pieces of quantum ontology 06

  (wave functions, the Schrödinger evolution equation), and the founda-

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  tional work that remains is to interpret how that formalism describes the

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  real world. In that case, this loophole closes with a slam. Indeed, in all of

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  the most popular approaches to quantum mechanics, there really isn’t any

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  loophole here at all; there’s no place in quantum dynamics for the general

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  principles of effective field theory to be violated.

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  But because we don’t all agree on the correct formulation of quantum me-

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  chanics, it’s conceivable that none of the most popular alternatives is correct.

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  We can imagine that the correct theory of quantum mechanics will ultimately

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  tell us that wave functions don’t really collapse randomly, for example; perhaps

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  there are subtle features of quantum measurement that have thus far eluded

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  experimental detection, but wil
l end up playing an important role in how we

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  come to understand biology or consciousness. It’s possible.

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  Another loophole is the possibility that “new physics” lurks not in new

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  dynamic laws but in something we don’t yet appreciate about the initial

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  conditions of the universe. A kind of prearrangement, rather than predes-

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  tination. The early universe seems to have been a very simple, low- entropy

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  place, which means (following Boltzmann’s definition of entropy) there

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  aren’t many states it could have been in. But it’s at least conceivable that it

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  was in a very special state featuring extremely subtle correlations that work

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  to influence our world today. We have no direct reason to believe that’s

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  true, but it deserves a place on our list of loopholes.

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  Finally, there is the manifest loophole that describing the world in terms

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  of physics alone might not be good enough. There might be more to reality

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  than the physical world. We’ll leave serious discussion of that possibility for

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  chapter 41.

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  The most likely scenario for future progress is that the Core Theory

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  continues to serve as an extremely good model in its domain of applicability

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  while we push forward to understand the world better at the levels above,

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  below, and to the side. We used to think that atoms consisted of a nucleus

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  and some electrons orbiting around it; now we know that the nucleus is

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  made of protons and neutrons, which are in turn made of quarks and glu-

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  ons. But we didn’t stop believing in nuclei when we learned about protons

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  and neutrons, and we didn’t stop believing in protons and neutrons when

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  we learned about quarks and gluons. Likewise, even after another hundred

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  or thousand years of scientific progress, we will still believe in the Core

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  Theory, with its fields and their interactions. Hopefully by then we’ll be in

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  possession of an even deeper level of understanding, but the Core Theory

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  will never go away. That’s the power of effective theories.

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  Why Does the Universe Exist?

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  I

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  fell in love with the universe at an early age. Lying in bed at night, ready

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  to fall asleep, I’d often be thinking about the expansion of space, and

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  what things were like back near the Big Bang, and what other kinds of

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  universes could exist— until I would come to the thought: What if our

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  universe hadn’t existed at all? What if there were simply nothing? That

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  would be it. No sleep for me that night.

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  These are classic questions, and behind them lurks a conviction that the

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  existence of the universe demands some kind of explanation. In a 1697 essay

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  entitled “On the Ultimate Origin of Things,” Gottfried Leibniz— whom

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  we remember as the proponent of the Principle of Sufficient Reason and the

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  Principle of the Best, as well as the coinventor of calculus— argued that we

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  should be somewhat surprised that anything exists at all. Nothingness, af-

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  ter all, is simpler than any one particular existing thing ever could be; there

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  is only one nothing, and many kinds of something. More recently, British

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  philosopher Derek Parfit has sympathized, saying that “it can seem aston-

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  ishing that anything exists.”

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  Just because these questions are common, it doesn’t mean they’re the

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  right ones to ask. Sidney Morgenbesser, a much- beloved professor of phi-

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  losophy at Columbia University, renowned for his aphoristic wisdom, was

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  once asked, “Why is there something, rather than nothing?”

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  “If there were nothing,” Morgenbesser immediately replied, “you’d still

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  be complaining.”

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  Beyond the worries and the witticisms, there are two interesting ques-

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  tions facing us, similar- sounding but different in important ways.

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  1. Could the universe, possibly, simply exist? Can we at least

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  imagine reasonable scenarios in which the universe simply

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  is, all by itself, or is it necessary to imagine something out-

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  side the universe in order to account for its existence?

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  2. What is the best explanation for the existence of the uni-

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  verse? If we need to invoke something outside the universe

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  to account for its existence, what is that thing? And is it

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  better or simpler to not invoke anything additional at all?

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  Following Aristotle, the fact that the universe exists is often cited as

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  evidence in favor of the existence of God. The universe is specific and con-

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  tingent, the argument goes; it could easily have been otherwise. So there

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  must be something that explains the universe, and then something that

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  explains that thing, and so on through the chain of reasons. To avoid diving

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  down a rabbit hole of infinite regress, we need to invoke a necessary being—

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  one that must exist and could not have been otherwise, and therefore re-

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  quires no explanation. And that being is God.

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  Poetic naturalists don’t like to talk a
bout necessities when it comes to

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  the universe. They prefer to lay all the options on the table, then try to fig-

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  ure out what our credences should be in each of them. Maybe there is an

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  ultimate explanation; maybe there is an infinite chain of explanations;

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  maybe there is no final explanation at all. The progress of modern physics

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  and cosmology has sent a fairly unequivocal message: there’s nothing wrong

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  with the universe existing without any external help. Why it exists the par-

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  ticular way it does, rather than some other way, is worth exploring.

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  •

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  Let’s start with the relatively straightforward, science- oriented question:

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  could the universe exist all by itself, or does it need something to bring it

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  into existence?

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  As Galileo taught us, one of the foundational features of modern phys-

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  ics is that objects can move, and tend to do so, without any need for an ex-

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  ternal cause or mover. Roughly speaking, the same goes for the universe.

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  W h y d O E S t h E u n I v E R S E E x I S t ?

  The scientific question to ask isn’t “What caused the universe?” or “What

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  keeps the universe going?” All we want to know is “Is the existence of the

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  universe compatible with unbroken laws of nature, or do we need to look

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  beyond those laws in order to account for it?”

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  This question is complicated by the fact that we don’t know what the

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  ultimate laws of nature actually are. Consider an issue that is inextricably

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  tied to why the universe exists: has it existed forever, or did it come into

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  existence at some particular moment, presumably the Big Bang?

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  Nobody knows. If we were Pierre- Simon Laplace, who believed in the

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  classical physics of Newton and scoffed at the idea that God would ever

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  interfere in the workings of nature, the answer would be easy: the universe

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  exists forever. Space and time are fixed and absolute, and it doesn’t really

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  matter what happens to the stuff that is moving around inside space. Time

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  stretches from the infinite past to the infinite future. Of course you are al-

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  ways welcome to consider other theories, but in unmodified Newtonian

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  physics the universe has no beginning.

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  Then in 1915 along comes Einstein and his theory of general relativity.

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  Space and time are subsumed into a four- dimensional spacetime, and space-

 

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